Suppose there is a basket containing one apple and twooranges. A student randomly pick one fruit from the basket untilthe first time the apple is picked. (Sampling withreplacement)
(a) What is the sample space for this experiment? Whatis the probability that the student pick the apple after itosses?
(b) What is the expected number of times the studentsneed to pick the apple?
(c) Let E be the event that the first time an apple ispicked up is after an even number of picks. What set of outcomesbelong to this event? What is the probability that Eoccurs?
